Expected Signature For the Lorentz Invariance Violation Effects on $\gamma -\gamma$ Absorption

Abstract

There are still some {significant and} unanswered questions about the {incredible} {very high energy (VHE)} $\gamma$-ray signatures. To help understand the mechanism, focusing on the linear and quadratic perturbation mode for the subluminal regime, the present paper revisited the expected signature for the Lorentz invariance violation effects on $\gamma -\gamma$ absorption in TeV spectra of Gamma-ray bursts (GRBs). We note that there is {a critical energy} for the pair production process, which is sensitive to the assumed quantum gravity energy scale. We suggest that a {reemergence of the energy spectrum of $\gamma$-rays} at the several tens of TeV is a rough observational diagnostic for the Lorentz invariance violation (LIV) effects. The expected spectra characteristics are applied to a GRB 221009A. The results show that the cosmic opacity with LIV effects considered here {can} roughly reproduce the observed $\gamma$-ray spectra for the source, which enabled us to constrain the upper limit of the values of energy scale at $E_{\mathrm{QG},1}\le 3.35\times 10^{20}$ GeV for the linear perturbation and $E_{\mathrm{QG},2}\le 9.19\times 10^{12}$ GeV for the quadratic perturbation. {These scenarios would update the bound of the LIV coefficient with ${\xi }_1^{\prime }\ge 3.62\times 10^{-2}$ for the linear perturbation, and ${\xi }_2^{\prime }\ge 1.33\times 10^6$ for the quadratic perturbation in the standard model extension (SME) framework, respectively. }

Accepted for publication in PRD, 8 pages, 5 figures

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Cited by in corpus (5)

• GRB 221009A: An ordinary nearby GRB with extraordinary observational properties
• Revisiting Tests of Lorentz Invariance with Gamma-ray Bursts: Effects of Intrinsic Lags
• GRB 221009A: Spectral signatures based on ALPs candidates
• Probes for String-Inspired Foam, Lorentz, and CPT Violations in Astrophysics
• New Insights on Gamma-Ray Burst Radiation Mechanisms from Multiwavelength Observations